7731411 divided by 742 
The aim is to understand the frequency of 742 in 7731411.

Advancing to step 1:
The number 742 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 742

Going ahead to step 2:
If we divide 77 by 742, we get 0 and a remainder of 77.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Append the next digit (3) from the dividend to 77 and continue with: 773 / 742

Let's proceed to step 3:
742 goes into 773 1 times with a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 742 from 773 to get 31.
Append the next digit (1) from the dividend to 31 and continue with: 311 / 742

Advancing to step 4:
If we divide 311 by 742, we get 0 and a remainder of 311.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 311, we get 311.
Bring next digit (4) of the dividend behind the 311 and repeat the process: 3114 / 742

Let's proceed to step 5:
The number 742 fits into 3114 4 times, leaving a remainder of 146.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.0
If we subtract 2968 from 3114, we get 146.
Grab the next digit (1) from the dividend, add it to 146, then carry on: 1461 / 742

Advancing to step 6:
742 can be fit into 1461 1 times, resulting in a remainder of 719.
The next digit of our result is 1. 
Result so far: 1041.0
If we subtract 742 from 1461, we get 719.
Take the next digit (1) from the dividend and append it to 719, then repeat: 7191 / 742

Advancing to step 7:
When dividing 7191 by 742, we get 9 with a remainder of 513.
Put 9 as the next digit of the answer. 
Result so far: 10419.0
Subtracting 6678 from 7191 leaves us with 513.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5130, and continue the process.

Let's proceed to step 8:
When dividing 5130 by 742, we get 6 with a remainder of 678.
Put 6 as the next digit of the answer. 
Result so far: 10419.6
Subtracting 4452 from 5130 leaves us with 678.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6780, and continue the process.

Moving on to step 9:
The number 742 fits into 6780 9 times, leaving a remainder of 102.
The number 9 becomes the next digit in our result. 
Result so far: 10419.69
Subtract 6678 from 6780 to get 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Step 10:
1020 divided by 742 is 1 with a remainder of 278.
Record the quotient 1 as the next digit in the result. 
Result so far: 10419.691
If we subtract 742 from 1020, we get 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

Going ahead to step 11:
When dividing 2780 by 742, we get 3 with a remainder of 554.
Record the quotient 3 as the next digit in the result. 
Result so far: 10419.6913
Subtracting 2226 from 2780 leaves us with 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

Step 12:
742 goes into 5540 7 times with a remainder of 346.
Write down 7 as next digit of the result. 
Result so far: 10419.69137
The remainder is 346 after subtracting 5194 from 5540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Advancing to step 13:
3460 divided by 742 is 4 with a remainder of 492.
Use 4 as the next digit of our solution. 
Result so far: 10419.691374
If we take 2968 away from 3460, we end up with 492.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

On to step 14:
If we divide 4920 by 742, we get 6 and a remainder of 468.
Write down 6 as next digit of the result. 
Result so far: 10419.6913746
Subtracting 4452 from 4920 leaves us with 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Let's proceed to step 15:
When dividing 4680 by 742, we get 6 with a remainder of 228.
Put 6 as the next digit of the answer. 
Result so far: 10419.69137466
The remainder is 228 after subtracting 4452 from 4680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

Our division results in 10419.69137466 with a remaining 2.28e-07.